论文标题
一维反感费中的旋转电荷分离的出现和破坏
Emergence and disruption of spin-charge separation in one-dimensional repulsive fermions
论文作者
论文摘要
在低温下，一维（1D）相互作用费米子的集体激发表现出旋转电荷分离，这是Tomonaga-Luttinger液体（TLL）理论预测的独特特征，但严格的理解仍然具有挑战性。使用热力学伯特ANSATZ（TBA）形式主义，我们通过分析得出具有任意相互作用强度的一维屈服自旋1/2费米气体的通用性能。我们展示了旋转电荷分离是如何从确切的TBA形式主义中出现的，以及如何被两个自由度之间的相互作用所破坏，这使我们超越了TLL范式。基于确切的低洼激发光谱，我们进一步评估了自旋和电荷动力学结构因子（DSF）。 DSF的峰表现出可区分的自旋和电荷速度作为相互作用强度的函数，可以通过用超电原子的Bragg光谱观察到这一点。
At low temperature, collective excitations of one-dimensional (1D) interacting fermions exhibit spin-charge separation, a unique feature predicted by the Tomonaga-Luttinger liquid (TLL) theory, but a rigorous understanding remains challenging. Using the thermodynamic Bethe Ansatz (TBA) formalism, we analytically derive universal properties of a 1D repulsive spin-1/2 Fermi gas with arbitrary interaction strength. We show how spin-charge separation emerges from the exact TBA formalism, and how it is disrupted by the interplay between the two degrees of freedom which brings us beyond the TLL paradigm. Based on the exact low-lying excitation spectra, we further evaluate the spin and charge dynamical structure factors (DSFs). The peaks of the DSFs exhibit distinguishable propagating velocities of spin and charge as functions of interaction strength, which can be observed by Bragg spectroscopy with ultracold atoms.
